A01=D J. Baylis
advanced error detection techniques
algebraic coding
Author_D J. Baylis
binary
Binary Hamming Code
Binary Linear Code
Category=PBCD
Category=PBV
check
communications systems
Congruent Mod
Correctly Decoded
coset
Coset Leaders
cyclic
Cyclic Codes
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euclid's Algorithm
Euclid's Lemma
Euclid’s Algorithm
Euclid’s Lemma
generator
Generator Matrix
Golay Code
hamming
Hamming Code
Hamming Distance
information theory
John Baylis
leaders
linear
Linear Codes
matrix
Monic Irreducibles
Non-zero Codewords
parity
Parity Check
Parity Check Bit
Parity Check Matrix
Perfect Codes
polynomial factorization
Received Word
Reed Muller Codes
Repetition Code
Symbol Error Probability
Symbol Permutations
syndrome analysis
undergraduate mathematics
Unique Prime Factorization Theorem
Product details
- ISBN 9781138416086
- Weight: 600g
- Dimensions: 156 x 234mm
- Publication Date: 27 Jul 2017
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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Assuming little previous mathematical knowledge, Error Correcting Codes provides a sound introduction to key areas of the subject. Topics have been chosen for their importance and practical significance, which Baylis demonstrates in a rigorous but gentle mathematical style.
Coverage includes optimal codes; linear and non-linear codes; general techniques of decoding errors and erasures; error detection; syndrome decoding, and much more. Error Correcting Codes contains not only straight maths, but also exercises on more investigational problem solving. Chapters on number theory and polynomial algebra are included to support linear codes and cyclic codes, and an extensive reminder of relevant topics in linear algebra is given.
Exercises are placed within the main body of the text to encourage active participation by the reader, with comprehensive solutions provided.
Error Correcting Codes will appeal to undergraduate students in pure and applied mathematical fields, software engineering, communications engineering, computer science and information technology, and to organizations with substantial research and development in those areas.
